A
stringlengths 4
41
| B
stringlengths 4
41
| E
int64 0
1
| H1
int64 0
1
| H2
int64 0
1
| H3
int64 0
1
| label
stringclasses 2
values |
|---|---|---|---|---|---|---|
~((~(q)|~(m))) | ((z>q)|((z|d)>e)) | 1 | 1 | 0 | 0 | entailment |
((~((z>g))&(x&z))&x) | ((~(m)>g)>z) | 1 | 1 | 0 | 0 | entailment |
~((~(q)|~(m))) | ((~(m)>g)>z) | 0 | 1 | 0 | 0 | not entailment |
((~((z>g))&(x&z))&x) | ((z>q)|((z|d)>e)) | 0 | 1 | 0 | 0 | not entailment |
~(((e&e)&(x|(e|d)))) | ((((w>(d&g))&z)&e)>((e&(m|m))>(q&z))) | 1 | 0 | 0 | 0 | entailment |
((((~(x)>m)|(m|z))&(z&d))&(z&d)) | (((d|q)|(g&((q|g)&x)))|(m|g)) | 1 | 1 | 0 | 0 | entailment |
~(((e&e)&(x|(e|d)))) | (((d|q)|(g&((q|g)&x)))|(m|g)) | 0 | 0 | 0 | 0 | not entailment |
((((~(x)>m)|(m|z))&(z&d))&(z&d)) | ((((w>(d&g))&z)&e)>((e&(m|m))>(q&z))) | 0 | 0 | 0 | 0 | not entailment |
((e|a)>((~(v)&q)&z)) | (z|(e>q)) | 1 | 1 | 1 | 1 | entailment |
((p|(a&v))&~((~(z)>(q&z)))) | (((z&a)|(~(e)|((e|p)>a)))>(z>(z>v))) | 1 | 0 | 0 | 0 | entailment |
((e|a)>((~(v)&q)&z)) | (((z&a)|(~(e)|((e|p)>a)))>(z>(z>v))) | 0 | 0 | 0 | 0 | not entailment |
((p|(a&v))&~((~(z)>(q&z)))) | (z|(e>q)) | 0 | 1 | 0 | 0 | not entailment |
((q|(z>v))>((a&(z&p))&v)) | (((e&v)&(((p|z)>p)|((p&(p>e))&v)))>(z&e)) | 1 | 0 | 0 | 0 | entailment |
((~(v)>z)&(((e&v)&a)&e)) | (~(((p&a)>e))|e) | 1 | 1 | 0 | 0 | entailment |
((q|(z>v))>((a&(z&p))&v)) | (~(((p&a)>e))|e) | 0 | 1 | 0 | 0 | not entailment |
((~(v)>z)&(((e&v)&a)&e)) | (((e&v)&(((p|z)>p)|((p&(p>e))&v)))>(z&e)) | 0 | 0 | 0 | 0 | not entailment |
(a&(z&~(~((q&e))))) | ((((a>v)&p)&((a>a)&p))|((a|v)|((v>a)&a))) | 1 | 0 | 0 | 0 | entailment |
(~(a)&(((e>z)&(p|~(p)))|q)) | (~(a)|p) | 1 | 1 | 1 | 1 | entailment |
(a&(z&~(~((q&e))))) | (~(a)|p) | 0 | 1 | 0 | 0 | not entailment |
(~(a)&(((e>z)&(p|~(p)))|q)) | ((((a>v)&p)&((a>a)&p))|((a|v)|((v>a)&a))) | 0 | 0 | 0 | 0 | not entailment |
(z&~((q|p))) | (((z|a)>p)>(q|q)) | 1 | 0 | 0 | 0 | entailment |
(((e>(q|q))|q)&~(~(p))) | ~((~((~(~(v))>p))&((v|(v&z))|q))) | 1 | 0 | 0 | 0 | entailment |
(z&~((q|p))) | ~((~((~(~(v))>p))&((v|(v&z))|q))) | 0 | 0 | 0 | 0 | not entailment |
(((e>(q|q))|q)&~(~(p))) | (((z|a)>p)>(q|q)) | 0 | 1 | 0 | 0 | not entailment |
(~((v&z))>~((p>((a>q)>(~((q&z))>a))))) | (p|z) | 1 | 1 | 1 | 1 | entailment |
~((~((v&a))>z)) | (z>(a&q)) | 1 | 1 | 0 | 0 | entailment |
(~((v&z))>~((p>((a>q)>(~((q&z))>a))))) | (z>(a&q)) | 0 | 1 | 1 | 0 | not entailment |
~((~((v&a))>z)) | (p|z) | 0 | 1 | 0 | 0 | not entailment |
(p&((q&p)&z)) | (q&p) | 1 | 1 | 1 | 1 | entailment |
(~((((p|v)&v)&z))&(a&p)) | ~((~(((p&e)>(a|a)))&v)) | 1 | 1 | 0 | 0 | entailment |
(p&((q&p)&z)) | ~((~(((p&e)>(a|a)))&v)) | 0 | 0 | 0 | 0 | not entailment |
(~((((p|v)&v)&z))&(a&p)) | (q&p) | 0 | 1 | 0 | 0 | not entailment |
(~((e>(z>a)))&(v&q)) | (~(v)|q) | 1 | 1 | 1 | 0 | entailment |
((z>z)&p) | (q>(((e>q)>(p&v))|p)) | 1 | 0 | 0 | 0 | entailment |
(~((e>(z>a)))&(v&q)) | (q>(((e>q)>(p&v))|p)) | 0 | 1 | 0 | 0 | not entailment |
((z>z)&p) | (~(v)|q) | 0 | 1 | 0 | 0 | not entailment |
~((((z>(~(v)|~(z)))&e)>(((z>a)|q)|p))) | (z>(z&(v>(a|q)))) | 1 | 1 | 1 | 0 | entailment |
((p&q)|((e&p)&z)) | (~(((p>~((a>v)))>p))>(a&v)) | 1 | 0 | 0 | 0 | entailment |
~((((z>(~(v)|~(z)))&e)>(((z>a)|q)|p))) | (~(((p>~((a>v)))>p))>(a&v)) | 0 | 1 | 1 | 0 | not entailment |
((p&q)|((e&p)&z)) | (z>(z&(v>(a|q)))) | 0 | 1 | 0 | 0 | not entailment |
~(~(p)) | ((~(~(q))&(a>p))|p) | 1 | 0 | 0 | 0 | entailment |
((a|z)|(e&((q&(a|a))|e))) | ((a|p)>~(~((e|((~(q)>q)|(a|z)))))) | 1 | 0 | 0 | 0 | entailment |
~(~(p)) | ((a|p)>~(~((e|((~(q)>q)|(a|z)))))) | 0 | 0 | 0 | 0 | not entailment |
((a|z)|(e&((q&(a|a))|e))) | ((~(~(q))&(a>p))|p) | 0 | 1 | 0 | 0 | not entailment |
(((~(z)>q)&~(~((q&p))))&~((v|(v&z)))) | (a|q) | 1 | 1 | 0 | 0 | entailment |
(~(q)|(a&~((q|(z|a))))) | ~((z&q)) | 1 | 1 | 1 | 1 | entailment |
(((~(z)>q)&~(~((q&p))))&~((v|(v&z)))) | ~((z&q)) | 0 | 1 | 1 | 0 | not entailment |
(~(q)|(a&~((q|(z|a))))) | (a|q) | 0 | 1 | 1 | 0 | not entailment |
~((a>(p>((((q&z)&a)|v)|v)))) | ((z|a)|(e|((q|v)>((q&z)&(e|q))))) | 1 | 0 | 0 | 0 | entailment |
(((e&(e|v))|((v|(a>q))&z))>((z&v)|z)) | (e>z) | 1 | 1 | 1 | 1 | entailment |
~((a>(p>((((q&z)&a)|v)|v)))) | (e>z) | 0 | 1 | 0 | 0 | not entailment |
(((e&(e|v))|((v|(a>q))&z))>((z&v)|z)) | ((z|a)|(e|((q|v)>((q&z)&(e|q))))) | 0 | 1 | 1 | 0 | not entailment |
(((z>v)&e)&q) | (~(~(((z|q)&(q>z))))>((z|q)>(v&(v|z)))) | 1 | 0 | 1 | 0 | entailment |
(~(v)&a) | ~((((q>q)|~(e))&v)) | 1 | 0 | 0 | 0 | entailment |
(((z>v)&e)&q) | ~((((q>q)|~(e))&v)) | 0 | 0 | 1 | 0 | not entailment |
(~(v)&a) | (~(~(((z|q)&(q>z))))>((z|q)>(v&(v|z)))) | 0 | 0 | 0 | 0 | not entailment |
((a>~(e))>~((~((q&a))>~(q)))) | ((q|q)|((a&v)|a)) | 1 | 1 | 0 | 0 | entailment |
(~(((z|p)|a))&v) | ((p>((a&e)>a))>~(((z&p)|p))) | 1 | 0 | 0 | 0 | entailment |
((a>~(e))>~((~((q&a))>~(q)))) | ((p>((a&e)>a))>~(((z&p)|p))) | 0 | 1 | 0 | 0 | not entailment |
(~(((z|p)|a))&v) | ((q|q)|((a&v)|a)) | 0 | 1 | 0 | 0 | not entailment |
(~(~(~(((q&q)&q))))&a) | ((e|q)|a) | 1 | 1 | 0 | 0 | entailment |
~(((p>z)|q)) | ~((((~(e)|~(p))&a)&z)) | 1 | 0 | 0 | 0 | entailment |
(~(~(~(((q&q)&q))))&a) | ~((((~(e)|~(p))&a)&z)) | 0 | 1 | 0 | 0 | not entailment |
~(((p>z)|q)) | ((e|q)|a) | 0 | 1 | 0 | 0 | not entailment |
((q&~(z))&(~(e)&((v>v)&~(z)))) | (q|a) | 1 | 1 | 0 | 0 | entailment |
~(p) | ~(((q&p)&((~((v&v))>(z&p))>v))) | 1 | 0 | 0 | 0 | entailment |
((q&~(z))&(~(e)&((v>v)&~(z)))) | ~(((q&p)&((~((v&v))>(z&p))>v))) | 0 | 1 | 0 | 0 | not entailment |
~(p) | (q|a) | 0 | 1 | 0 | 0 | not entailment |
(h&(f|h)) | (k>(((m>s)|i)|(h|h))) | 1 | 0 | 0 | 0 | entailment |
((h&h)>m) | ((~((h>m))>(s>i))|~(~(((f>i)>m)))) | 1 | 0 | 0 | 0 | entailment |
(h&(f|h)) | ((~((h>m))>(s>i))|~(~(((f>i)>m)))) | 0 | 0 | 0 | 0 | not entailment |
((h&h)>m) | (k>(((m>s)|i)|(h|h))) | 0 | 0 | 0 | 0 | not entailment |
(s&k) | (s|~(((m|(s|h))>(k&m)))) | 1 | 0 | 0 | 0 | entailment |
((f&k)&m) | ((i|h)>m) | 1 | 1 | 0 | 0 | entailment |
(s&k) | ((i|h)>m) | 0 | 0 | 0 | 0 | not entailment |
((f&k)&m) | (s|~(((m|(s|h))>(k&m)))) | 0 | 0 | 0 | 0 | not entailment |
((~((s|s))>s)|(m&(f>s))) | ((((h|(h&k))&s)>(i>s))&(s|m)) | 1 | 0 | 0 | 0 | entailment |
(k&(k&~(m))) | (~(~((i>(s|k))))|((s&k)&s)) | 1 | 0 | 0 | 0 | entailment |
((~((s|s))>s)|(m&(f>s))) | (~(~((i>(s|k))))|((s&k)&s)) | 0 | 0 | 0 | 0 | not entailment |
(k&(k&~(m))) | ((((h|(h&k))&s)>(i>s))&(s|m)) | 0 | 0 | 0 | 0 | not entailment |
(~((h&k))&(h&(s&m))) | ((s&m)&((k|h)>~(~(((h|(h|h))>m))))) | 1 | 0 | 1 | 1 | entailment |
((k&f)&((f>m)&~((s&~(s))))) | ~((((i&k)|k)>~((f|h)))) | 1 | 1 | 0 | 0 | entailment |
(~((h&k))&(h&(s&m))) | ~((((i&k)|k)>~((f|h)))) | 0 | 0 | 0 | 0 | not entailment |
((k&f)&((f>m)&~((s&~(s))))) | ((s&m)&((k|h)>~(~(((h|(h|h))>m))))) | 0 | 0 | 0 | 0 | not entailment |
((f>m)&k) | (((i&k)|k)|~((h>(((f&(f|m))|f)&f)))) | 1 | 0 | 0 | 0 | entailment |
~(((i&f)>(k|m))) | (~(m)>(~(((m>f)>~(i)))|(s&(i>k)))) | 1 | 0 | 0 | 0 | entailment |
((f>m)&k) | (~(m)>(~(((m>f)>~(i)))|(s&(i>k)))) | 0 | 0 | 0 | 0 | not entailment |
~(((i&f)>(k|m))) | (((i&k)|k)|~((h>(((f&(f|m))|f)&f)))) | 0 | 0 | 0 | 0 | not entailment |
~((~((s&(k&i)))|~(~(~(m))))) | ((~(((k>~(m))|i))|i)>s) | 1 | 1 | 1 | 0 | entailment |
(~(k)&((m&f)&h)) | ((f>h)|h) | 1 | 1 | 1 | 0 | entailment |
~((~((s&(k&i)))|~(~(~(m))))) | ((f>h)|h) | 0 | 1 | 0 | 0 | not entailment |
(~(k)&((m&f)&h)) | ((~(((k>~(m))|i))|i)>s) | 0 | 0 | 0 | 0 | not entailment |
((i&i)&(k|s)) | (((~((m&h))&~(i))>s)|k) | 1 | 0 | 0 | 0 | entailment |
(h&(f>~((s>h)))) | ~(~((~(~(m))|h))) | 1 | 0 | 0 | 0 | entailment |
((i&i)&(k|s)) | ~(~((~(~(m))|h))) | 0 | 0 | 0 | 0 | not entailment |
(h&(f>~((s>h)))) | (((~((m&h))&~(i))>s)|k) | 0 | 0 | 0 | 0 | not entailment |
((((k>k)|(f&i))&h)&s) | (h&(((h>m)>m)|s)) | 1 | 1 | 0 | 0 | entailment |
((h>(h|h))>(m&((h&s)>h))) | ((h>m)|m) | 1 | 1 | 1 | 1 | entailment |
((((k>k)|(f&i))&h)&s) | ((h>m)|m) | 0 | 1 | 0 | 0 | not entailment |
((h>(h|h))>(m&((h&s)>h))) | (h&(((h>m)>m)|s)) | 0 | 1 | 1 | 0 | not entailment |
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